TSTP Solution File: GRP503-1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : GRP503-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:46:53 EDT 2024

% Result   : Unsatisfiable 1.10s 0.63s
% Output   : CNFRefutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   89 (  89 unt;   0 nHn;  10 RR)
%            Number of literals    :   89 (  88 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  234 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(double_divide(X1,inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(X4,double_divide(X1,X4))))) = X3,
    file('/export/starexec/sandbox2/tmp/tmp.0nu7jkZa6h/E---3.1_18336.p',single_axiom) ).

cnf(multiply,axiom,
    multiply(X1,X2) = inverse(double_divide(X2,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.0nu7jkZa6h/E---3.1_18336.p',multiply) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/tmp/tmp.0nu7jkZa6h/E---3.1_18336.p',prove_these_axioms_2) ).

cnf(c_0_3,axiom,
    double_divide(double_divide(X1,inverse(double_divide(X2,X3))),double_divide(inverse(X2),inverse(double_divide(X4,double_divide(X1,X4))))) = X3,
    single_axiom ).

cnf(c_0_4,axiom,
    multiply(X1,X2) = inverse(double_divide(X2,X1)),
    multiply ).

cnf(c_0_5,plain,
    double_divide(double_divide(X1,multiply(X2,X3)),double_divide(inverse(X3),multiply(double_divide(X1,X4),X4))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).

cnf(c_0_6,plain,
    multiply(double_divide(inverse(X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(X4,X1))) = inverse(X4),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,plain,
    multiply(double_divide(multiply(multiply(X1,X2),X3),multiply(double_divide(X4,X5),X5)),double_divide(X4,inverse(X1))) = multiply(multiply(double_divide(X3,X6),X6),inverse(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_4]),c_0_4]) ).

cnf(c_0_8,plain,
    multiply(multiply(double_divide(X1,X2),X2),inverse(X3)) = multiply(multiply(double_divide(X1,X4),X4),inverse(X3)),
    inference(spm,[status(thm)],[c_0_7,c_0_7]) ).

cnf(c_0_9,plain,
    multiply(double_divide(multiply(X1,X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(X5,double_divide(X2,X1)))) = inverse(X5),
    inference(spm,[status(thm)],[c_0_6,c_0_4]) ).

cnf(c_0_10,plain,
    multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_5]) ).

cnf(c_0_11,plain,
    multiply(double_divide(multiply(X1,X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X5,X6),X6))) = multiply(double_divide(X2,X1),X5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_4]) ).

cnf(c_0_12,plain,
    double_divide(double_divide(X1,multiply(X2,double_divide(X3,X4))),double_divide(multiply(X4,X3),multiply(double_divide(X1,X5),X5))) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_13,plain,
    multiply(double_divide(X1,double_divide(X2,X1)),X3) = multiply(double_divide(X4,double_divide(X2,X4)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_11]) ).

cnf(c_0_14,plain,
    double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_12]) ).

cnf(c_0_15,plain,
    multiply(double_divide(X1,double_divide(X2,X1)),double_divide(X2,X3)) = multiply(double_divide(X3,X4),X4),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_16,plain,
    double_divide(double_divide(X1,multiply(double_divide(X2,X3),X3)),double_divide(inverse(X4),multiply(double_divide(X1,X5),X5))) = double_divide(X2,X4),
    inference(spm,[status(thm)],[c_0_5,c_0_10]) ).

cnf(c_0_17,plain,
    multiply(double_divide(double_divide(X1,multiply(X2,X3)),X4),X4) = multiply(X2,double_divide(inverse(X3),multiply(double_divide(X1,X5),X5))),
    inference(spm,[status(thm)],[c_0_10,c_0_5]) ).

cnf(c_0_18,plain,
    multiply(double_divide(X1,multiply(double_divide(X2,X3),X3)),X4) = multiply(multiply(double_divide(X1,X5),X5),multiply(X2,X4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_4]),c_0_11]),c_0_4]) ).

cnf(c_0_19,plain,
    multiply(double_divide(inverse(X1),multiply(X2,double_divide(inverse(X3),multiply(double_divide(X4,X5),X5)))),double_divide(double_divide(X4,multiply(X2,X3)),multiply(X6,X1))) = inverse(X6),
    inference(spm,[status(thm)],[c_0_6,c_0_5]) ).

cnf(c_0_20,plain,
    double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X1,X4),X4))),X3)),X5) = double_divide(X2,X5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_16]) ).

cnf(c_0_21,plain,
    multiply(multiply(double_divide(X1,X2),X2),multiply(X3,multiply(double_divide(X3,X4),X4))) = multiply(double_divide(X1,b2),b2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_18]),c_0_15]) ).

cnf(c_0_22,plain,
    multiply(multiply(double_divide(inverse(X1),X2),X2),multiply(X3,double_divide(X3,multiply(X4,X1)))) = inverse(X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_20]) ).

cnf(c_0_23,plain,
    double_divide(X1,multiply(X2,multiply(double_divide(X2,X3),X3))) = multiply(double_divide(X1,X4),X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_21]),c_0_16]) ).

cnf(c_0_24,plain,
    multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),b2),b2) = inverse(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]) ).

cnf(c_0_25,plain,
    multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1),
    inference(spm,[status(thm)],[c_0_10,c_0_24]) ).

cnf(c_0_26,plain,
    double_divide(double_divide(X1,multiply(double_divide(X2,X3),X3)),double_divide(multiply(X4,X5),multiply(double_divide(X1,X6),X6))) = double_divide(X2,double_divide(X5,X4)),
    inference(spm,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_27,plain,
    multiply(inverse(X1),multiply(X2,multiply(double_divide(X2,X3),X3))) = inverse(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_25]) ).

cnf(c_0_28,plain,
    double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),inverse(X4))) = double_divide(X1,X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_16]) ).

cnf(c_0_29,plain,
    multiply(double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),inverse(X3)),X4) = multiply(X3,X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_28]),c_0_4]) ).

cnf(c_0_30,plain,
    inverse(multiply(double_divide(X1,X2),X2)) = multiply(multiply(X3,multiply(double_divide(X3,X4),X4)),X1),
    inference(spm,[status(thm)],[c_0_4,c_0_23]) ).

cnf(c_0_31,plain,
    double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),inverse(X3)) = X3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_29]),c_0_12]) ).

cnf(c_0_32,plain,
    multiply(multiply(X1,X2),multiply(X3,multiply(double_divide(X3,X4),X4))) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_27,c_0_4]) ).

cnf(c_0_33,plain,
    inverse(multiply(X1,inverse(X1))) = multiply(X2,multiply(double_divide(X2,X3),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_34,plain,
    double_divide(inverse(multiply(b2,inverse(b2))),inverse(X1)) = X1,
    inference(rw,[status(thm)],[c_0_31,c_0_33]) ).

cnf(c_0_35,plain,
    multiply(b2,inverse(b2)) = multiply(X1,inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_33]),c_0_34]) ).

cnf(c_0_36,plain,
    multiply(inverse(X1),multiply(inverse(multiply(double_divide(X2,X3),X3)),inverse(X2))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_27,c_0_25]) ).

cnf(c_0_37,plain,
    multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
    inference(spm,[status(thm)],[c_0_35,c_0_35]) ).

cnf(c_0_38,plain,
    multiply(inverse(X1),multiply(inverse(multiply(double_divide(double_divide(X2,X3),X4),X4)),multiply(X3,X2))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_36,c_0_4]) ).

cnf(c_0_39,plain,
    multiply(X1,inverse(X1)) = multiply(double_divide(X2,X3),multiply(X3,X2)),
    inference(spm,[status(thm)],[c_0_37,c_0_4]) ).

cnf(c_0_40,plain,
    multiply(inverse(X1),inverse(multiply(double_divide(double_divide(multiply(double_divide(X2,X3),X3),X2),X4),X4))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_38,c_0_27]) ).

cnf(c_0_41,plain,
    multiply(multiply(X1,X2),inverse(multiply(b2,inverse(b2)))) = multiply(X1,X2),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,plain,
    multiply(X1,inverse(X1)) = inverse(multiply(b2,inverse(b2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_25]),c_0_4]),c_0_33]) ).

cnf(c_0_43,plain,
    multiply(double_divide(multiply(multiply(X1,multiply(double_divide(X1,X2),X2)),X3),X4),X4) = inverse(X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_4]) ).

cnf(c_0_44,plain,
    multiply(multiply(X1,X2),multiply(b2,inverse(b2))) = multiply(X1,X2),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    double_divide(X1,multiply(inverse(multiply(double_divide(X2,X3),X3)),inverse(X2))) = multiply(double_divide(X1,X4),X4),
    inference(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_46,plain,
    multiply(double_divide(multiply(b2,inverse(b2)),X1),X1) = multiply(b2,inverse(b2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_33]),c_0_42]),c_0_42]) ).

cnf(c_0_47,plain,
    multiply(inverse(X1),inverse(multiply(b2,inverse(b2)))) = inverse(X1),
    inference(rw,[status(thm)],[c_0_27,c_0_33]) ).

cnf(c_0_48,plain,
    multiply(X1,inverse(X1)) = inverse(multiply(X2,inverse(X2))),
    inference(spm,[status(thm)],[c_0_42,c_0_37]) ).

cnf(c_0_49,plain,
    double_divide(inverse(multiply(X1,inverse(X1))),inverse(X2)) = X2,
    inference(spm,[status(thm)],[c_0_34,c_0_37]) ).

cnf(c_0_50,plain,
    multiply(double_divide(X1,X2),X2) = double_divide(X1,multiply(b2,inverse(b2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_51,plain,
    double_divide(multiply(X1,inverse(X1)),inverse(X2)) = X2,
    inference(spm,[status(thm)],[c_0_49,c_0_42]) ).

cnf(c_0_52,plain,
    double_divide(multiply(b2,inverse(b2)),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
    inference(rw,[status(thm)],[c_0_46,c_0_50]) ).

cnf(c_0_53,plain,
    double_divide(multiply(X1,inverse(X1)),multiply(X2,X3)) = double_divide(X3,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_4]) ).

cnf(c_0_54,plain,
    multiply(b2,inverse(b2)) = double_divide(inverse(b2),b2),
    inference(rw,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_55,plain,
    multiply(X1,inverse(X1)) = double_divide(inverse(b2),b2),
    inference(spm,[status(thm)],[c_0_37,c_0_54]) ).

cnf(c_0_56,plain,
    double_divide(double_divide(inverse(b2),b2),inverse(X1)) = X1,
    inference(rw,[status(thm)],[c_0_51,c_0_55]) ).

cnf(c_0_57,plain,
    multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_47,c_0_37]) ).

cnf(c_0_58,plain,
    double_divide(X1,double_divide(double_divide(inverse(b2),b2),X1)) = double_divide(inverse(X2),X2),
    inference(spm,[status(thm)],[c_0_14,c_0_56]) ).

cnf(c_0_59,plain,
    multiply(inverse(X1),multiply(X2,inverse(X2))) = inverse(X1),
    inference(spm,[status(thm)],[c_0_57,c_0_42]) ).

cnf(c_0_60,plain,
    double_divide(X1,double_divide(X2,X1)) = double_divide(double_divide(X3,X2),double_divide(X4,double_divide(X3,X4))),
    inference(spm,[status(thm)],[c_0_14,c_0_14]) ).

cnf(c_0_61,plain,
    multiply(double_divide(X1,X2),X2) = double_divide(X1,double_divide(inverse(b2),b2)),
    inference(rw,[status(thm)],[c_0_50,c_0_54]) ).

cnf(c_0_62,plain,
    double_divide(inverse(X1),X1) = double_divide(inverse(X2),X2),
    inference(spm,[status(thm)],[c_0_58,c_0_58]) ).

cnf(c_0_63,plain,
    multiply(inverse(X1),double_divide(inverse(b2),b2)) = inverse(X1),
    inference(rw,[status(thm)],[c_0_59,c_0_55]) ).

cnf(c_0_64,plain,
    inverse(inverse(multiply(double_divide(X1,X2),X2))) = multiply(double_divide(inverse(inverse(X1)),b2),b2),
    inference(spm,[status(thm)],[c_0_24,c_0_24]) ).

cnf(c_0_65,plain,
    double_divide(X1,double_divide(double_divide(X2,X3),X1)) = double_divide(double_divide(X4,double_divide(X2,X4)),double_divide(X5,double_divide(X3,X5))),
    inference(spm,[status(thm)],[c_0_14,c_0_60]) ).

cnf(c_0_66,plain,
    multiply(double_divide(inverse(X1),X1),X2) = double_divide(inverse(X2),double_divide(inverse(b2),b2)),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,plain,
    double_divide(X1,double_divide(inverse(X2),X1)) = double_divide(X2,double_divide(inverse(X3),X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_62]) ).

cnf(c_0_68,plain,
    multiply(inverse(X1),multiply(X2,double_divide(X2,multiply(X3,multiply(double_divide(X1,X4),X4))))) = inverse(X3),
    inference(spm,[status(thm)],[c_0_22,c_0_25]) ).

cnf(c_0_69,plain,
    multiply(inverse(X1),double_divide(inverse(X2),X2)) = inverse(X1),
    inference(spm,[status(thm)],[c_0_63,c_0_62]) ).

cnf(c_0_70,plain,
    inverse(inverse(multiply(double_divide(X1,double_divide(double_divide(X2,X3),X1)),double_divide(X4,double_divide(X3,X4))))) = inverse(X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_4]),c_0_24]) ).

cnf(c_0_71,plain,
    multiply(double_divide(inverse(X1),X1),X2) = double_divide(b2,double_divide(inverse(inverse(X2)),b2)),
    inference(rw,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    multiply(inverse(X1),inverse(multiply(X2,double_divide(X1,double_divide(inverse(b2),b2))))) = inverse(X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_50]),c_0_55]) ).

cnf(c_0_73,plain,
    double_divide(b2,double_divide(double_divide(b2,double_divide(inverse(inverse(inverse(X1))),b2)),b2)) = inverse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_61]),c_0_4]),c_0_71]),c_0_4]),c_0_61]),c_0_4]),c_0_66]),c_0_67]),c_0_4]),c_0_61]),c_0_67]),c_0_4]),c_0_50]),c_0_55]),c_0_67]) ).

cnf(c_0_74,plain,
    double_divide(b2,double_divide(inverse(inverse(inverse(inverse(X1)))),b2)) = inverse(inverse(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_69]),c_0_4]),c_0_55]),c_0_4]),c_0_55]),c_0_71]) ).

cnf(c_0_75,plain,
    double_divide(b2,double_divide(inverse(inverse(X1)),b2)) = inverse(inverse(X1)),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_76,plain,
    double_divide(double_divide(inverse(X1),X1),inverse(X2)) = X2,
    inference(spm,[status(thm)],[c_0_56,c_0_62]) ).

cnf(c_0_77,plain,
    inverse(inverse(inverse(X1))) = inverse(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(fof_simplification,[status(thm)],[prove_these_axioms_2]) ).

cnf(c_0_79,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    c_0_78 ).

cnf(c_0_81,plain,
    multiply(inverse(X1),X1) = double_divide(inverse(b2),b2),
    inference(spm,[status(thm)],[c_0_55,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    multiply(double_divide(inverse(b2),b2),a2) != a2,
    inference(rw,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_83,negated_conjecture,
    multiply(double_divide(inverse(X1),X1),a2) != a2,
    inference(spm,[status(thm)],[c_0_82,c_0_62]) ).

cnf(c_0_84,negated_conjecture,
    double_divide(inverse(a2),double_divide(inverse(b2),b2)) != a2,
    inference(spm,[status(thm)],[c_0_83,c_0_61]) ).

cnf(c_0_85,plain,
    double_divide(b2,double_divide(X1,b2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_79]),c_0_79]) ).

cnf(c_0_86,negated_conjecture,
    double_divide(inverse(a2),double_divide(inverse(X1),X1)) != a2,
    inference(spm,[status(thm)],[c_0_84,c_0_62]) ).

cnf(c_0_87,plain,
    double_divide(X1,double_divide(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_14,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP503-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Jun 20 13:31:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.0nu7jkZa6h/E---3.1_18336.p
% 1.10/0.63  # Version: 3.2.0
% 1.10/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.10/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.10/0.63  # Starting new_bool_3 with 300s (1) cores
% 1.10/0.63  # Starting new_bool_1 with 300s (1) cores
% 1.10/0.63  # Starting sh5l with 300s (1) cores
% 1.10/0.63  # new_bool_1 with pid 18454 completed with status 0
% 1.10/0.63  # Result found by new_bool_1
% 1.10/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.10/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.10/0.63  # Starting new_bool_3 with 300s (1) cores
% 1.10/0.63  # Starting new_bool_1 with 300s (1) cores
% 1.10/0.63  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.10/0.63  # Search class: FUUPS-FFSF21-MFFFFFNN
% 1.10/0.63  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.10/0.63  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 1.10/0.63  # U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 18459 completed with status 0
% 1.10/0.63  # Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 1.10/0.63  # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.10/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.63  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.10/0.63  # Starting new_bool_3 with 300s (1) cores
% 1.10/0.63  # Starting new_bool_1 with 300s (1) cores
% 1.10/0.63  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.10/0.63  # Search class: FUUPS-FFSF21-MFFFFFNN
% 1.10/0.63  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.10/0.63  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 1.10/0.63  # Preprocessing time       : 0.001 s
% 1.10/0.63  # Presaturation interreduction done
% 1.10/0.63  
% 1.10/0.63  # Proof found!
% 1.10/0.63  # SZS status Unsatisfiable
% 1.10/0.63  # SZS output start CNFRefutation
% See solution above
% 1.10/0.63  # Parsed axioms                        : 3
% 1.10/0.63  # Removed by relevancy pruning/SinE    : 0
% 1.10/0.63  # Initial clauses                      : 3
% 1.10/0.63  # Removed in clause preprocessing      : 0
% 1.10/0.63  # Initial clauses in saturation        : 3
% 1.10/0.63  # Processed clauses                    : 447
% 1.10/0.63  # ...of these trivial                  : 106
% 1.10/0.63  # ...subsumed                          : 211
% 1.10/0.63  # ...remaining for further processing  : 130
% 1.10/0.63  # Other redundant clauses eliminated   : 0
% 1.10/0.63  # Clauses deleted for lack of memory   : 0
% 1.10/0.63  # Backward-subsumed                    : 5
% 1.10/0.63  # Backward-rewritten                   : 81
% 1.10/0.63  # Generated clauses                    : 8942
% 1.10/0.63  # ...of the previous two non-redundant : 8016
% 1.10/0.63  # ...aggressively subsumed             : 0
% 1.10/0.63  # Contextual simplify-reflections      : 0
% 1.10/0.63  # Paramodulations                      : 8942
% 1.10/0.63  # Factorizations                       : 0
% 1.10/0.63  # NegExts                              : 0
% 1.10/0.63  # Equation resolutions                 : 0
% 1.10/0.63  # Disequality decompositions           : 0
% 1.10/0.63  # Total rewrite steps                  : 8714
% 1.10/0.63  # ...of those cached                   : 6628
% 1.10/0.63  # Propositional unsat checks           : 0
% 1.10/0.63  #    Propositional check models        : 0
% 1.10/0.63  #    Propositional check unsatisfiable : 0
% 1.10/0.63  #    Propositional clauses             : 0
% 1.10/0.63  #    Propositional clauses after purity: 0
% 1.10/0.63  #    Propositional unsat core size     : 0
% 1.10/0.63  #    Propositional preprocessing time  : 0.000
% 1.10/0.63  #    Propositional encoding time       : 0.000
% 1.10/0.63  #    Propositional solver time         : 0.000
% 1.10/0.63  #    Success case prop preproc time    : 0.000
% 1.10/0.63  #    Success case prop encoding time   : 0.000
% 1.10/0.63  #    Success case prop solver time     : 0.000
% 1.10/0.63  # Current number of processed clauses  : 41
% 1.10/0.63  #    Positive orientable unit clauses  : 36
% 1.10/0.63  #    Positive unorientable unit clauses: 2
% 1.10/0.63  #    Negative unit clauses             : 3
% 1.10/0.63  #    Non-unit-clauses                  : 0
% 1.10/0.63  # Current number of unprocessed clauses: 7224
% 1.10/0.63  # ...number of literals in the above   : 7224
% 1.10/0.63  # Current number of archived formulas  : 0
% 1.10/0.63  # Current number of archived clauses   : 89
% 1.10/0.63  # Clause-clause subsumption calls (NU) : 0
% 1.10/0.63  # Rec. Clause-clause subsumption calls : 0
% 1.10/0.63  # Non-unit clause-clause subsumptions  : 0
% 1.10/0.63  # Unit Clause-clause subsumption calls : 174
% 1.10/0.63  # Rewrite failures with RHS unbound    : 0
% 1.10/0.63  # BW rewrite match attempts            : 371
% 1.10/0.63  # BW rewrite match successes           : 142
% 1.10/0.63  # Condensation attempts                : 0
% 1.10/0.63  # Condensation successes               : 0
% 1.10/0.63  # Termbank termtop insertions          : 149587
% 1.10/0.63  # Search garbage collected termcells   : 2
% 1.10/0.63  
% 1.10/0.63  # -------------------------------------------------
% 1.10/0.63  # User time                : 0.115 s
% 1.10/0.63  # System time              : 0.007 s
% 1.10/0.63  # Total time               : 0.122 s
% 1.10/0.63  # Maximum resident set size: 1624 pages
% 1.10/0.63  
% 1.10/0.63  # -------------------------------------------------
% 1.10/0.63  # User time                : 0.115 s
% 1.10/0.63  # System time              : 0.010 s
% 1.10/0.63  # Total time               : 0.125 s
% 1.10/0.63  # Maximum resident set size: 1688 pages
% 1.10/0.63  % E---3.1 exiting
% 1.30/0.64  % E exiting
%------------------------------------------------------------------------------